MathDB
Problems
Contests
National and Regional Contests
Turkey Contests
JBMO TST - Turkey
2014 JBMO TST - Turkey
1
x(x+1)^3=(2x+a)(x+a+1)
x(x+1)^3=(2x+a)(x+a+1)
Source: Turkey JBMO TST 2014 P5
June 21, 2014
quadratics
algebra proposed
algebra
Problem Statement
Find all real values of
a
a
a
for which the equation
x
(
x
+
1
)
3
=
(
2
x
+
a
)
(
x
+
a
+
1
)
x(x+1)^3=(2x+a)(x+a+1)
x
(
x
+
1
)
3
=
(
2
x
+
a
)
(
x
+
a
+
1
)
has four distinct real roots.
Back to Problems
View on AoPS